Base | Representation |
---|---|
bin | 1001100111000101011… |
… | …01001100010100000000 |
3 | 1011120100200002111220011 |
4 | 10303202231030110000 |
5 | 20402243034342344 |
6 | 411411302154304 |
7 | 32600120201605 |
oct | 4634255142400 |
9 | 1146320074804 |
10 | 330221012224 |
11 | 118056175064 |
12 | 53bba422994 |
13 | 251a7c2706c |
14 | 11da8a7c6ac |
15 | 88ca8e2d34 |
hex | 4ce2b4c500 |
330221012224 has 72 divisors (see below), whose sum is σ = 686860833960. Its totient is φ = 158252924928.
The previous prime is 330221012213. The next prime is 330221012287. The reversal of 330221012224 is 422210122033.
It can be written as a sum of positive squares in 4 ways, for example, as 48013574400 + 282207437824 = 219120^2 + 531232^2 .
It is a junction number, because it is equal to n+sod(n) for n = 330221012195 and 330221012204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854752 + ... + 1179424.
It is an arithmetic number, because the mean of its divisors is an integer number (9539733805).
Almost surely, 2330221012224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 330221012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343430416980).
330221012224 is an abundant number, since it is smaller than the sum of its proper divisors (356639821736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330221012224 is a wasteful number, since it uses less digits than its factorization.
330221012224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 324855 (or 324841 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
Adding to 330221012224 its reverse (422210122033), we get a palindrome (752431134257).
The spelling of 330221012224 in words is "three hundred thirty billion, two hundred twenty-one million, twelve thousand, two hundred twenty-four".
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